Approximation of the invariant measure of stable SDEs by an Euler-Maruyama scheme
DOI10.1016/j.spa.2023.06.001zbMath1528.60073arXiv2205.01342OpenAlexW4380793146MaRDI QIDQ6171647
Rene L. Schilling, Chang Song Deng, Peng Chen, Lihu Xu
Publication date: 14 August 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.01342
Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic calculus of variations and the Malliavin calculus (60H07) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^{p}\)-Wasserstein distance for stochastic differential equations driven by Lévy processes
- Approximation of stable law in Wasserstein-1 distance by Stein's method
- The Euler scheme for Lévy driven stochastic differential equations
- Adaptive Euler-Maruyama method for SDEs with non-globally Lipschitz drift
- The Euler scheme for Lévy driven stochastic differential equations: limit theorems.
- The law of the Euler scheme for stochastic differential equations. I: Convergence rate of the distribution function
- Derivative formulas and gradient estimates for SDEs driven by \(\alpha\)-stable processes
- A method for simulating stable random vectors
- Approximation to stochastic variance reduced gradient Langevin dynamics by stochastic delay differential equations
- Central limit theorem and self-normalized Cramér-type moderate deviation for Euler-Maruyama scheme
- On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift
- Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs
- Multivariate approximations in Wasserstein distance by Stein's method and Bismut's formula
- Approximation to stable law by the Lindeberg principle
- Strong rate of convergence for the Euler-Maruyama approximation of SDEs with Hölder continuous drift coefficient
- An adaptive scheme for the approximation of dissipative systems
- Recursive computation of the invariant measure of a stochastic differential equation driven by a Lévy process
- Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
- Approximation of stochastic differential equations driven by α-stable Lévy motion
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Some Theorems on Stable Processes
- The Malliavin Calculus and Related Topics
- Second-order discretization schemes of stochastic differential systems for the computation of the invariant law
- Two-sided bounds on the rate of convergence to a stable law
- Stability of Markovian processes I: criteria for discrete-time Chains
- A Method for Simulating Stable Random Variables
- On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes
- Univariate Stable Distributions
- Subgeometric rates of convergence for Markov processes under subordination
- The Numerical Invariant Measure of Stochastic Differential Equations With Markovian Switching
- Unadjusted Langevin algorithm with multiplicative noise: total variation and Wasserstein bounds
This page was built for publication: Approximation of the invariant measure of stable SDEs by an Euler-Maruyama scheme